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Finding the Fourth Proportional to 16,509.57, 24,764.16 and 7,738.29

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Solution

The fourth proportional to 16,509.57, 24,764.16 and 7,738.29 is: 11,607.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,509.57 : 24,764.16 = 7,738.29 : x
  2. Step 2: Convert to fraction form
    16,509.57/24,764.16 = 7,738.29/x
  3. Step 3: Cross multiply
    16,509.57x = 24,764.16 × 7,738.29
  4. Step 4: Simplify right side
    16,509.57x = 191,632,251.69
  5. Step 5: Solve for x
    x = 191,632,251.69/16,509.57
  6. Step 6: Final answer
    x = 11,607.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.